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Finding the Third Proportional to 639,909 and 1,400,346

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Solution

The third proportional to 639,909 and 1,400,346 is: 3,064,449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,909 : 1,400,346 = 1,400,346 : x
  2. Step 2: Convert to fraction form
    639,909/1,400,346 = 1,400,346/x
  3. Step 3: Cross multiply
    639,909x = 1,400,346 × 1,400,346
  4. Step 4: Simplify right side
    639,909x = 1,960,968,919,716
  5. Step 5: Solve for x
    x = 1,960,968,919,716/639,909
  6. Step 6: Final answer
    x = 3,064,449.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.